This piece uses the title of a lullaby to create a miniature that blends intimacy with a slight sense of theatrical artifice. It is a light, salon-style work that typifies late 19th-century domestic piano music.
Focus on the grace and lightness required for the 'Polichinelle' character, avoiding overly heavy tone.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse de Polichinelle is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5. In the RCM system it corresponds to about level 4.
You should be comfortable at Henle level 3 — meaning you can already play level 2–3 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Berceuse de Polichinelle lasts about 2 minutes.
Berceuse de Polichinelle is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Für Elise by Ludwig van Beethoven, Beija-flor, IEN 4 by Ernesto Nazareth, Beija-flor by Ernesto Nazareth — see the full similar-pieces list on this page.